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Finding the Fourth Proportional to 492,099.28, 679,097.01 and 265,744.78

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Solution

The fourth proportional to 492,099.28, 679,097.01 and 265,744.78 is: 366,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,099.28 : 679,097.01 = 265,744.78 : x
  2. Step 2: Convert to fraction form
    492,099.28/679,097.01 = 265,744.78/x
  3. Step 3: Cross multiply
    492,099.28x = 679,097.01 × 265,744.78
  4. Step 4: Simplify right side
    492,099.28x = 180,466,485,521.11
  5. Step 5: Solve for x
    x = 180,466,485,521.11/492,099.28
  6. Step 6: Final answer
    x = 366,727.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.